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3 years ago

You flip a coin 3 times. What is the probability that it comes up heads all three times (HHH)?

Mathematics

1 answer:

Volgvan3 years ago

5 0

Answer:

1 out of 8

Step-by-step explanation:

If you flip a coin there are eight possible outcomes:

HHH

HHT

HTT

TTT

THH

TTH

THT

HTH

SO the probability of getting all heads is 1 over 8.

Hope this helps

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Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values

Vesnalui [34]

The Lagrangian is

$L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)$

with critical points where the partial derivatives vanish.

$L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}$

$L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda$

$L_\lambda=x^2+y^2-9=0$

Substitute $x,y$ into the last equation and solve for $\lambda$ :

$\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6$

Then we get two critical points,

$(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)$

We get an absolute maximum of $3\sqrt{17}\approx12.369$ at the second point, and an absolute minimum of $-3\sqrt{17}\approx-12.369$ at the first point.

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3 years ago

A recipe uses 7 parts of milk for every 5 parts of sugar how much sugar do you use when you use 28 cups of milk

stira [4]

Answer:

the answer is 20 cups of sugar

Step-by-step explanation:

7/28= 5/x

x= 20.

x reps the number of cups of sugar

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3 years ago

Number 17 and 18 please and thank you

Mashutka [201]

17. All
18. B because it can be symmetrical either way

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20℅ of your employees work part time What fraction of the employees work part time

telo118 [61]

1/5
A fifth of your employees ..

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Viết tập hợp dưới dạng liệt kê <br> A = { x € Z : (x^2 + 5x - 6)(2x-1)=0}

love history [14]

Answer:

Step-by-step explanation:

A={1;-6;1/2}

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3 years ago